"I am training twice a day and my leg is holding up. I'm so happy that I can start running and look ahead without worrying about what this season has been like for me," he told Milan Channel.
"We will not take risks or push the recovery process, but if all goes well I'd love to play some of the important games that await us in May.
"Fans stop me in the street and ask when I'll return. I can only focus on working hard and doing well in a Milan jersey, whether that is this season or the next.
"My objective is to play at Milan for many years to come and hopefully end my career here."